Approximate Estimation for Global Buckling Load of Cylindrical Single-Layer Grid Shells: Fitting of Envelope Equations Based on Regression Analysis

This study defines an imaginary stiffness G to represent the overall stiffness for the grid shells. Through the linear buckling analysis, four kinds of grid patterns with different geometric parameters, in total 9100 cases, are analyzed to get their buckling load factors \({\lambda}\) . Based on the regression analysis, four envelope equations are fitted with G, \({\lambda}\) and geometric parameters. The applicability of the equations is illustrated by the distribution of the difference \({r}_{\Delta{\lambda}}\) .